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133074190005690 = 235296431187200407
BaseRepresentation
bin11110010000011110111111…
…110100101111010110111010
3122110011202202002212100100110
4132100132333310233112322
5114420241420120140230
61151005234450445150
740013202324462333
oct3620367764572672
9573152662770313
10133074190005690
11394464a102629a
1212b12804b937b6
135933ac461932b
1424c0b7a36128a
15105b8721a64b0
hex7907bfd2f5ba

133074190005690 has 128 divisors (see below), whose sum is σ = 331185346652160. Its totient is φ = 34180503452928.

The previous prime is 133074190005643. The next prime is 133074190005697. The reversal of 133074190005690 is 96500091470331.

It is a super-2 number, since 2×1330741900056902 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133074190005697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 663919467 + ... + 664119873.

It is an arithmetic number, because the mean of its divisors is an integer number (2587385520720).

Almost surely, 2133074190005690 is an apocalyptic number.

133074190005690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133074190005690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165592673326080).

133074190005690 is an abundant number, since it is smaller than the sum of its proper divisors (198111156646470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133074190005690 is a wasteful number, since it uses less digits than its factorization.

133074190005690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202276.

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 133074190005690 in words is "one hundred thirty-three trillion, seventy-four billion, one hundred ninety million, five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 643 870 1187 1286 1929 2374 3215 3561 3858 5935 6430 7122 9645 11870 17805 18647 19290 34423 35610 37294 55941 68846 93235 103269 111882 172115 186470 200407 206538 279705 344230 400814 516345 559410 601221 763241 1002035 1032690 1202442 1526482 2004070 2289723 3006105 3816205 4579446 5811803 6012210 7632410 11448615 11623606 17435409 22133989 22897230 29059015 34870818 44267978 58118030 66401967 87177045 110669945 128861701 132803934 174354090 221339890 237883109 257723402 332009835 386585103 475766218 644308505 664019670 713649327 773170206 1189415545 1288617010 1427298654 1932925515 2378831090 3568246635 3736989329 3865851030 6898610161 7136493270 7473978658 11210967987 13797220322 18684946645 20695830483 22421935974 34493050805 37369893290 41391660966 56054839935 68986101610 103479152415 112109679870 152958839087 206958304830 305917678174 458876517261 764794195435 917753034522 1529588390870 2294382586305 4435806333523 4588765172610 8871612667046 13307419000569 22179031667615 26614838001138 44358063335230 66537095002845 133074190005690